Zhi-Zhong Sun
Orcid: 0000-0003-2994-1368
According to our database1,
Zhi-Zhong Sun
authored at least 67 papers
between 2004 and 2024.
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Bibliography
2024
H<sup>1</sup>-analysis of H3N3-2<sub>σ</sub>-based difference method for fractional hyperbolic equations.
Comput. Appl. Math., February, 2024
2022
Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations.
SIAM J. Numer. Anal., 2022
Numer. Algorithms, 2022
Optimal convergence rate of the explicit Euler method for convection-diffusion equations II: high dimensional cases.
CoRR, 2022
Optimal convergence rate of the explicit Euler method for convection-diffusion equations.
Appl. Math. Lett., 2022
2021
A fast temporal second-order compact ADI difference scheme for the 2D multi-term fractional wave equation.
Numer. Algorithms, 2021
Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations.
Numer. Algorithms, 2021
Two Finite Difference Schemes for Multi-Dimensional Fractional Wave Equations with Weakly Singular Solutions.
Comput. Methods Appl. Math., 2021
The study of exact and numerical solutions of the generalized viscous Burgers' equation.
Appl. Math. Lett., 2021
Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation.
Adv. Comput. Math., 2021
The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation.
Adv. Comput. Math., 2021
2020
An H2N2 Interpolation for Caputo Derivative with Order in (1, 2) and Its Application to Time-Fractional Wave Equations in More Than One Space Dimension.
J. Sci. Comput., 2020
Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations.
Comput. Math. Appl., 2020
A new analytical technique of the L-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations.
Appl. Math. Lett., 2020
2019
The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for the Time Multi-term Fractional Wave Equation.
J. Sci. Comput., 2019
Numerical Schemes for Solving the Time-Fractional Dual-Phase-Lagging Heat Conduction Model in a Double-Layered Nanoscale Thin Film.
J. Sci. Comput., 2019
A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation.
Appl. Math. Comput., 2019
2018
Numerical Method for Solving the Time-Fractional Dual-Phase-Lagging Heat Conduction Equation with the Temperature-Jump Boundary Condition.
J. Sci. Comput., 2018
Stability and convergence of difference schemes for multi-dimensional parabolic equations with variable coefficients and mixed derivatives.
Int. J. Comput. Math., 2018
A High-Order Difference Scheme for the Space and Time Fractional Bloch-Torrey Equation.
Comput. Methods Appl. Math., 2018
2017
Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations.
Numer. Algorithms, 2017
The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for Solving the Time Multi-term and Distributed-Order Fractional Sub-diffusion Equations.
J. Sci. Comput., 2017
Int. J. Comput. Math., 2017
2016
Numerical Algorithms with High Spatial Accuracy for the Fourth-Order Fractional Sub-Diffusion Equations with the First Dirichlet Boundary Conditions.
J. Sci. Comput., 2016
Two Alternating Direction Implicit Difference Schemes for Solving the Two-Dimensional Time Distributed-Order Wave Equations.
J. Sci. Comput., 2016
Two Alternating Direction Implicit Difference Schemes for Two-Dimensional Distributed-Order Fractional Diffusion Equations.
J. Sci. Comput., 2016
Some high order difference schemes for the space and time fractional Bloch-Torrey equations.
Appl. Math. Comput., 2016
A finite difference scheme for semilinear space-fractional diffusion equations with time delay.
Appl. Math. Comput., 2016
2015
Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection.
Math. Comput., 2015
Compact Crank-Nicolson Schemes for a Class of Fractional Cattaneo Equation in Inhomogeneous Medium.
J. Sci. Comput., 2015
A High-Order Compact Finite Difference Scheme for the Fractional Sub-diffusion Equation.
J. Sci. Comput., 2015
Second-order approximations for variable order fractional derivatives: Algorithms and applications.
J. Comput. Phys., 2015
J. Comput. Phys., 2015
J. Comput. Phys., 2015
Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence.
J. Comput. Phys., 2015
Int. J. Comput. Math., 2015
A second-order linearized three-level backward Euler scheme for a class of nonlinear expitaxial growth model.
Int. J. Comput. Math., 2015
Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations.
Comput. Math. Appl., 2015
Maximum norm error analysis of difference schemes for fractional diffusion equations.
Appl. Math. Comput., 2015
The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation.
Appl. Math. Comput., 2015
2014
A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation.
SIAM J. Sci. Comput., 2014
J. Sci. Comput., 2014
Finite difference methods for the time fractional diffusion equation on non-uniform meshes.
J. Comput. Phys., 2014
A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications.
J. Comput. Phys., 2014
2013
Numerical Algorithm With High Spatial Accuracy for the Fractional Diffusion-Wave Equation With Neumann Boundary Conditions.
J. Sci. Comput., 2013
Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions.
J. Comput. Phys., 2013
The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain.
J. Comput. Phys., 2013
Int. J. Comput. Math., 2013
2012
Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation.
SIAM J. Numer. Anal., 2012
Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials.
Numerische Mathematik, 2012
A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions.
J. Comput. Phys., 2012
A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions.
Appl. Math. Comput., 2012
2011
Error Estimates of Crank-Nicolson-Type Difference Schemes for the Subdiffusion Equation.
SIAM J. Numer. Anal., 2011
A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions.
J. Comput. Phys., 2011
Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation.
J. Comput. Phys., 2011
J. Comput. Phys., 2011
Maximum norm error estimates of efficient difference schemes for second-order wave equations.
J. Comput. Appl. Math., 2011
A second-order linearized finite difference scheme for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation.
Int. J. Comput. Math., 2011
2010
SIAM J. Numer. Anal., 2010
Maximum norm error estimates of the Crank-Nicolson scheme for solving a linear moving boundary problem.
J. Comput. Appl. Math., 2010
On the L<sub>∞</sub> convergence of a difference scheme for coupled nonlinear Schrödinger equations.
Comput. Math. Appl., 2010
2009
Appl. Math. Comput., 2009
2008
A Second Order Accurate Difference Scheme for the Hyperbolic Problem with Concentrated Data.
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008
2007
On the stability and convergence of a difference scheme for an one-dimensional parabolic inverse problem.
Appl. Math. Comput., 2007
2006
The stability and convergence of a difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions.
J. Comput. Phys., 2006
The stability and convergence of an explicit difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions.
J. Comput. Phys., 2006
2004
A second order accurate difference scheme for the heat equation with concentrated capacity.
Numerische Mathematik, 2004